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Finding the Third Proportional to 590,900.06 and 970,800.19

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Solution

The third proportional to 590,900.06 and 970,800.19 is: 1,594,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,900.06 : 970,800.19 = 970,800.19 : x
  2. Step 2: Convert to fraction form
    590,900.06/970,800.19 = 970,800.19/x
  3. Step 3: Cross multiply
    590,900.06x = 970,800.19 × 970,800.19
  4. Step 4: Simplify right side
    590,900.06x = 942,453,004,050.04
  5. Step 5: Solve for x
    x = 942,453,004,050.04/590,900.06
  6. Step 6: Final answer
    x = 1,594,944.84

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.